Generic separable metric structures
Logic
2008-02-04 v1 General Topology
Abstract
We compare three notions of genericity of separable metric structures. Our analysis provides a general model theoretic technique of showing that structures are generic in descriptive set theoretic (topological) sense and in measure theoretic sense. In particular, it gives a new perspective on Vershik's theorems on genericity and randomness of Urysohn's space among separable metric spaces.
Cite
@article{arxiv.0802.0156,
title = {Generic separable metric structures},
author = {Alexander Usvyatsov},
journal= {arXiv preprint arXiv:0802.0156},
year = {2008}
}